A regular polygon with a minimum number of sides is constructed such that each internal angle is an obtuse angle. How many diagonals would this polygon have? a. 14 b. 9 C. 5 d. 2
Answers
Given : A regular polygon with a minimum number of sides is constructed such that each internal angle is an obtuse angle.
To Find : How many diagonals would this polygon have?
a. 14 b. 9 C. 5 d. 2
Solution:
Square is a A regular polygon with 4 sides with each internal angle = 90°
Hence Regular pentagon will be with 5 sides with each internal angle > 90° hence Obtuse angles
so n = 5
Number of diagonals = n(n - 3) /2
= 5 ( 5 - 3) /2
= 5
There will be 5 diagonals
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Answer:
Given : A regular polygon with a minimum number of sides is constructed such that each internal angle is an obtuse angle.
To Find : How many diagonals would this polygon have?
a. 14 b. 9 C. 5 d. 2
Solution:
Square is a A regular polygon with 4 sides with each internal angle = 90°
Hence Regular pentagon will be with 5 sides with each internal angle > 90° hence Obtuse angles
so n = 5
Number of diagonals = n(n - 3) /2
= 5 ( 5 - 3) /2
= 5
There will be 5 diagonals
Learn More:
How many pairs of regular Polygons are possible whose interior ...
brainly.in/question/18022858
Find the measure of each interior angle of a regular pentagon and ...
brainly.in/question/16976071